A characterization of finite symplectic groups over fields with more than two elements

DOI10.1016/0021-8693(91)90050-IzbMath0712.20021OpenAlexW2020401077MaRDI QIDQ923724

Jonathan I. Hall

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90050-i

zbMATH Keywords

finite groupssplit exact sequencessymplectic typeroot subgroupsdirect sums of natural modulestransvection subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Geometric group theory (20F65)

Related Items

The hyperbolic lines of finite symplectic spaces ⋮ The geometry of \(k\)-transvection groups ⋮ Symplectic geometries, transvection groups, and modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups generated by k-transvections
• The hyperbolic lines of finite symplectic spaces
• A characterization of the unitary and symplectic groups over finite fields of characteristic at least 5
• First cohomology groups of some linear groups over fields of characteristic two
• Some 3-Transposition Groups with Normal 2-Subgroups
• Graphs, Geometry, 3-Transpositions, and Symplectic F ₂ -Transvection Groups
• CLASSIFYING COPOLAR SPACES AND GRAPHS
• Subgroups of Classical Groups Generated by Long Root Elements